For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value r(t) = (3 sin t)i - (8 cos 3t)j +e-7tk ; to = 0

A. x = 3, y = -8t, z = -7 + t
B. x = 3t, y = -8, z = 1 - t
C. x = 3t, y = 8, z = 1 + t
D. x = 3t, y = -8, z = 1 - 7t

Answer: D

Mathematics

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